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We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed…

Other Condensed Matter · Physics 2007-06-13 Maciej Lewenstein , Anna Sanpera , Veronica Ahufinger , Bogdan Damski , Aditi Sen De , Ujjwal Sen

We consider a two-dimensional homogeneous ensemble of cold bosonic atoms loaded inside two optical cavities and pumped by a far-detuned external laser field. We examine the conditions for these atoms to self-organize into triangular and…

Quantum Gases · Physics 2016-08-08 Shabnam Safaei , Christian Miniatura , Benoît Grémaud

We study incompressible ground states of bosons in a two-dimensional rotating square optical lattice. The system can be described by the Bose-Hubbard model in an effective uniform magnetic field present due to the lattice rotation. To study…

Quantum Gases · Physics 2015-06-05 T. Duric , A. Lazarides

Ultra-cold atoms in specifically designed optical lattices can be used to mimic the many-particle Hamiltonian describing electrons and positrons in an external electric field. This facilitates the experimental simulation of (so far…

Quantum Physics · Physics 2011-11-28 Nikodem Szpak , Ralf Schützhold

Cold atoms, driven by a laser and simultaneously coupled to the quantum field of an optical resonator, can self-organize in periodic structures. These structures are supported by the optical lattice, which emerges from the laser light they…

Quantum Gases · Physics 2015-05-18 Sonia Fernández-Vidal , Gabriele De Chiara , Jonas Larson , Giovanna Morigi

We present a scheme to implement a Fermi-Hubbard-like model in ultracold atoms in optical lattices and analyze the topological features of its ground state. In particular, we show that the ground state for appropriate parameters has a large…

Strongly Correlated Electrons · Physics 2014-07-16 Anne E. B. Nielsen , Germán Sierra , J. Ignacio Cirac

An optical flux lattice is a set of light beams that couple different internal states of an atom, thereby producing topological energy bands. Here we present a configuration in which the atoms exhibit a dark state, i.e. an internal state…

Quantum Gases · Physics 2025-09-04 Sylvain Nascimbene , Jean Dalibard

Cold atoms, loaded into an optical lattice with double-well sites, are considered. Pseudospin representation for an effective Hamiltonian is derived. The system in equilibrium displays two phases, ordered and disordered. The second-order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

We demonstrate a novel experimental arrangement which rotates a 2D optical lattice at frequencies up to several kilohertz. Ultracold atoms in such a rotating lattice can be used for the direct quantum simulation of strongly correlated…

Quantum Physics · Physics 2009-11-13 R. A. Williams , J. D. Pillet , S. Al-Assam , B. Fletcher , M. Shotter , C. J. Foot

We derive the condition for the occurrence of the integer quantum Hall effect in two-dimensional lattice systems with interactions, expressed as $\phi\nu-\rho\in\mathbb{Z}$, where $\phi$, $\nu$, and $\rho$ denote the magnetic flux, the…

Strongly Correlated Electrons · Physics 2026-01-23 Masaaki Nakamura , Masanori Yamanaka

We provide a detailed analysis of our previously proposed scheme [Phys. Rev. Lett. 88, 180401, (2002)] to engineer the profile of the hopping amplitudes for atomic gases in a 1D optical lattice so that the particle number becomes…

Other Condensed Matter · Physics 2008-11-26 J. Ruostekoski , J. Javanainen , G. V. Dunne

We report on the realization of a strongly interacting quantum degenerate gas of fermionic atoms in a three-dimensional optical lattice. We prepare a band-insulating state for a two-component Fermi gas with one atom per spin state per…

Other Condensed Matter · Physics 2007-05-23 Michael Köhl , Kenneth Günter , Thilo Stöferle , Henning Moritz , Tilman Esslinger

We present how a phase factor is generated when an electric dipole moves along a closed trajectory inside a magnetic field gradient. The similarity of this situation with charged particles in a magnetic field can be employed to simulate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jiannis K. Pachos

We investigate a setup where a cloud of atoms is trapped in an optical lattice potential of a standing wave laser field which is created by retro-reflection on a micro-membrane. The membrane vibrations itself realize a quantum mechanical…

Quantum Physics · Physics 2010-08-31 K. Hammerer , K. Stannigel , C. Genes , P. Zoller , P. Treutlein , S. Camerer , D. Hunger , T. W. Haensch

We investigate the strongly correlated effect of cold atoms in triangular optical lattice by dynamical cluster approximation combining with the continuous time quantum Monte Carlo method proposed recently. It is found the double occupancy…

Quantum Gases · Physics 2010-07-16 Yao-Hua Chen , Wei Wu , Hong-Shuai Tao , Wu-Ming Liu

Benchmarking numerical methods in quantum chemistry is one of the key opportunities that quantum simulators can offer. Here, we propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We…

We study the dynamics of non interacting thermal atoms embedded in structured optical lattices with non trivial geometry. The lattice would be generated by two counter propagating modes with parabolic cylindrical symmetry and we concentrate…

Quantum Physics · Physics 2011-01-24 R. Pérez-Pascual , B. M. Rodríguez-Lara , R. Jáuregui

Quantum simulations of Hubbard models with ultracold atoms rely on the exceptional control of coherent motion provided by optical lattices. Here we demonstrate enhanced tunability using an optical superlattice in a fermionic quantum gas…

A novel way to produce quantum Hall ribbons in a cold atomic system is to use M hyperfine states of atoms in a 1D optical lattice to mimic an additional "synthetic dimension". A notable aspect here is that the SU(M) symmetric interaction…

The production of molecules from dual species atomic quantum gases has enabled experiments that employ molecules at nanoKelvin temperatures. As a result, every degree of freedom of these molecules is in a well-defined quantum state and…

Quantum Gases · Physics 2018-04-27 Jacob P. Covey , Steven A. Moses , Jun Ye , Deborah S. Jin
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